Strong power-supply, weak speakers. Will it cause a problem?

is a measurement of how much power a speaker can handle. If you crank up the volume you can destroy the coil. Keep the power down and they'll be OK.

As noted in prior post, if you keep the volume down you may not smoke your other speakers, but it does depended on how under rated they are for where that magic point is at.

Keep in mind also that you can have a considerable power difference driven to your speakers at the same volume level, the dynamic range of our source and the nature of the content you are listening to can both impact this.

Say you are at a moderate volume level and then all of a sudden the song goes in to a major drum solo or really pumps a section, then you could easily go from a safe level to one that smokes the speakers. An old rule of thumb used to be to have spearkers rated at twice the power off your amp (power supply as you called it).

A good indicator that you are over-driving your speakers is high levels of distortion either all of a sudden or as you turn the volume up.
The bad news is that by the time you can react to this it may be too late, but if you keep it well in the safe range then this will work just fine.

In nte mean time you might look to save up for some used speakers off ebay or other on-line place, you can get some pretty high rated speakers at pretty low prices.

When replacing speakers, care must be taken in matching the speekers impedance. Most systems are rated at eight ohms, while higher powered units are often four ohms. Parelleling speakers will result in a reduction of the impedance and a resulting increase in voltage due to a reduction in current. This increase will be what causes the speaker to blow out due to excessive coil movement.

lesson in how to destroy speakers. More problems come from an insufficient, puny power supply trying to keep up with speakers needs.

Yes, labeling speakers with power "ratings" is actually the measure they can take at maximum. It is far from essential information, but rather, manufacturers hype. There are large speakers, small ones; highly efficient ones which produce more sound per watt of power & such esoterica as different design principals that may be substantially inefficient & require much more power & refined power at that with low resistance to ohms, like 4 or even less.

Many design theories have been tried over the years with no consensus emerging as to what constitutes a most nearly perfect speaker. As an eventuality over 50 years I have come to having for music, two speakers with msrps of $8000. However, the price is not the point. I am wowed by their performance, yet much more expensive speakers are out there.

I always cringe when a car goes by with its rear body plastic moldings vibrating as trying to tear itself apart because of one of those ridiculous enormous boom box sub woofers in the trunk. That does not reproduce anything accurately. It is a misdirected fad.